Answer:
[tex]y = |x + 9| - 6[/tex]
Step-by-step explanation:
Given
[tex]y = |x|[/tex] --- the correct equation
Shifted down 6 units
Shifted left 9 units
Required
The new equation
When function is shifted down by b units, the new function is:
[tex](x,y) = (x,y-b)[/tex]
In this case:
[tex]b =6[/tex]
So, [tex]y = |x|[/tex] becomes
[tex]y =|x| - 6[/tex]
When function is shifted left by b units, the new function is:
[tex](x,y) = (x+b,y)[/tex]
In this case:
[tex]b =9[/tex]
So: [tex]y =|x| - 6[/tex] becomes
[tex]y = |x + 9| - 6[/tex]
Which set of numbers does NOT represent the lengths of the sides of a triangle? (6, 18, 23) (6, 22, 17) (16, 24, 7) (22, 8, 15
Answer:
(16, 24, 7)
Step-by-step explanation:
The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.
But 16 + 7 = 23 is not greater than 24.
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?
A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above
Answer:
c
Step-by-step explanation:
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
So C would be the most accurate statement
please give brainiest
Why is it important for a company to create an income statement?
Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)
Answer:
B. (-1,7)
C. (0,5)
D. (2,3)
Step-by-step explanation:
We solve this question looking at the graphic.
A. (-7, 1)
When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.
B. (-1,7)
When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.
C. (0,5)
When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.
D. (2,3)
When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.
E. (3, 2)
When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution
F. (5,0)
When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution
Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.
Answer:
Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°
Hope this helps!
A surveyor has a survey a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up in the unknown side of plot to the nearest foot
9514 1404 393
Answer:
392 ft
Step-by-step explanation:
As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) = 400/550·sin(88°)
B = arcsin(8/11·sin(88°)) ≈ 46.621°
Then angle A = ...
A = 180° - B - C = 180° -46.621° -88° = 45.379°
Now, we can find side 'a' from ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet
The unknown side of the triangle is about 392 feet.
Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.
Answer: 37m
Step-by-step explanation:
Convert 300cm into m = 3m
6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m
There are 30 students in a class and 18 of them own at least one pet.
What fraction of the class own pets?
Give your answer in its simplest form.
Answer:
18/30=3/5
Step-by-step explanation:
Grade 9 transformation graph
Answer:
1) D
2) C
3) A
4) B
Step-by-step explanation:
Ok, we need to try each function in the point x = 0 and then analyze the limit as x goes to really large values.
1) g(x) = -3^x
When x = 0, we have:
g(0) = -3^0 = -1
Then we know that the graph of this function will be either A or D.
Now, as x goes to really large values, 3^x will eventually approximate to infinity.
Then - 3^x will approximate to negative infinnity.
From that, we can conclude that the graph for this function is the one that goes to negative infinite as x increases. That is graph D.
2) h(x) = (1/3)^(-x) = 3^x
This is the exact opposite of the previous function. So we need to find the graph that is an exact reflection across the x-axis of graph D, and that one is the graph C.
then the graph if this function is C.
3) k(x) = - (1/3)^x = -1/(3^x)
When x = 0
k(0) = -(1/3)^0 = -1
We have two options with a y-intersect at y = -1 (graph A and D) and in this case, we can see that the part that grows fast is in the denominator, then as x increases, the denominator increases, and thus the function will tend to zero, then the graph of this function is graph A.
4) g(x) = 3^(-x) = 1/(3^x)
g(0) = 1/(3^0) = 1/1 = 1
And same as before, as x increases, g(x) tends to zero.
Then the remaining graph (B) is the graph of this function.
find the measure of the angle indicated
1. 73
2. 57
3. 84
4. 83
Answer:
2 . 57
Step-by-step explanation:
sorry if I'm wrong I'm not the Brady at math just trying
Of the 600 people at a music festival, 420 had attended the previous year. how many people out of 100 had attended the previous year?
A 42
B 60
C 80
D 70
Whoever gets the answer first and its correct gets brainlist!
Answer:
No because the graph is not a straight line
Step-by-step explanation:
Since the slope isn’t constant, the graph is not linear
5,2,4 does this make a triangle
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
Urgent math question, 10 points for a solve.
Answer:
cot (X) = 5/12
Step-by-step explanation:
tan (X) = opp/adj so cot (X) is adj/opp
What expressions are equivalent to 2.097 help
Answer:
ur question is not complete.
Score: 0 of 1 pt
7.1.21
Graph the equation. Select integers for x from – 3 to 3, inclusive.
y=x2-3
Use the graphing tool to graph the equation.
Click to
enlarge
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x^2 - 3[/tex]
Required
The graph of the equation
First, we determine the range of y
[tex]x = -3[/tex]
[tex]y = x^2 - 3 \to y = (-3)^2 - 3 = 6[/tex]
[tex](-3,6)[/tex]
[tex]x = -2[/tex]
[tex]y = (-2)^2 - 3 = 1[/tex]
[tex](-2,1)[/tex]
[tex]x = -1[/tex]
[tex]y = (-1)^2 - 3 = -2[/tex]
[tex](-1,-2)[/tex]
[tex]x=0[/tex]
[tex]y = 0^2 - 3 = -3[/tex]
[tex](0,-3)[/tex]
[tex]x = 1[/tex]
[tex]y= 1^2 - 3 = -2[/tex]
[tex](1,-2)[/tex]
[tex]x = 2[/tex]
[tex]y =2^2 - 3 = 1[/tex]
[tex](2,1)[/tex]
[tex]x = 3[/tex]
[tex]y = 3^2 - 3 = 6[/tex]
[tex](3,6)[/tex]
See attachment for graph
Provide the steps!
••••••••••••••••••••••
Answer:
3×3=9
3×8=24
3×8=24
24+24+9=57
this is the surface area
For a bell-shaped distribution with µ = 30, what is the most probable value for the mode?
Answer:
[tex]Mode = 30[/tex]
Step-by-step explanation:
Given
[tex]\mu = 30[/tex] --- Mean
Required
The possible value of the mode
For a bell-shaped distribution, we have:
[tex]Mean = Mode[/tex]
Rewrite as:
[tex]Mode = Mean[/tex]
This gives;
[tex]Mode = \mu[/tex]
Hence:
[tex]Mode = 30[/tex]
Answer:
For a bell-shaped distribution with µ = 30,
Mode =30
Step-by-step explanation:
good luck
which pair of words describes this system of equations 3y=9x-6 2y+6x=4
Answer:
Consistent and dependent
Step-by-step explanation:
Given
[tex]3y = 9x - 6[/tex]
[tex]2y + 6x = 4[/tex]
Required
The words that describe the equations
Make y the subject in (2)
[tex]2y + 6x = 4[/tex]
Collect like terms
[tex]2y = 4 - 6x[/tex]
Divide through by 2
[tex]y = 2 - 3x[/tex]
Substitute: [tex]y = 2 - 3x[/tex] in (1)
[tex]3y = 9x - 6[/tex]
[tex]3(2 - 3x) = 9x - 6[/tex]
[tex]6 - 9x = 9x - 6[/tex]
Collect like terms
[tex]9x+9x = 6+6[/tex]
[tex]18x = 12[/tex]
Solve for x
[tex]x = \frac{12}{18}[/tex]
Simplify
[tex]x = \frac{2}{3}[/tex]
Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]
[tex]y = 2 - 3*\frac{2}{3}[/tex]
[tex]y = 2 - 2[/tex]
[tex]y =0[/tex]
So, we have:
[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]
The system is consistent because it has at least 1 solution
The system is dependent because it has more than 1 solution
Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years
Answer:
4 yrs have passed since the account was opened
1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest
Answer:
Step-by-step explanation:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
Volume = 84
Hope this helps!
Two trains, Train A and Train B, weigh a total of 532 tons. Train A is heavier than Train B. The difference of their weights is 450 tons. What is the weight of each train?
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b and d I think!!
Step-by-step explanation:
The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers.
Assuming the rope makes a perfect circle, what is the length of this rope?
Give your answer in terms of pi.
Solve for x. -2.7x + 0.4 =2.8 -1.2x
x=-1.6
Hope this Helped! :T
What is the following product?
Ulyssa draws a rectangle
that is 2/3 of a meter
long and 3/5 of a meter
wide. What is the area
of this rectangle?
Answer:
15m
Step-by-step explanation:
What is the least common multiple of six and four
Answer:
12 hello how are you doing
Answer:
Least Common Multiple (LCM) :-2 | 6 , 42 | 3 , 23 | 3 , 1 | 1 , 1LCM → 2 × 2 × 3= 4 × 3= 12✍ The least common multiple of six (6) and four (4) is twelve (12).Write the phrase as a numerical expression.
3.
5 more than 8
4. 8 less than 2 times a number
3. 8+5
4. 2x - 8
Step-by-step explanation:
3. for example : 5 more than the number means
x+5 so that's how we get the answer as 8+5
4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.
secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8